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Finding the Fourth Proportional to 694.46, 957.66 and 589.43

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Solution

The fourth proportional to 694.46, 957.66 and 589.43 is: 812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.46 : 957.66 = 589.43 : x
  2. Step 2: Convert to fraction form
    694.46/957.66 = 589.43/x
  3. Step 3: Cross multiply
    694.46x = 957.66 × 589.43
  4. Step 4: Simplify right side
    694.46x = 564,468.75
  5. Step 5: Solve for x
    x = 564,468.75/694.46
  6. Step 6: Final answer
    x = 812.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.